Is relevant evidence admissible in a criminal case?

Generally, all relevant evidence is admissible. (People v. Champion (1995) 9 Cal.4th 879, 922.) Relevant evidence is that which has any tendency in reason to prove or disprove any disputed fact material to the outcome of the case. (Evid. Code, 210.) "The test of relevance is whether the evidence tends ' "logically, naturally, and by reasonable inference" to establish material facts such as identity, intent, or motive. [Citations.]' [Citation.] The trial court has broad discretion in determining the relevance

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of evidence [citations] but lacks discretion to admit irrelevant evidence. [Citations.]' [Citation.]" (People v. Hamilton (2009) 45 Cal.4th 863, 940.)

" 'Evidence that a defendant committed crimes other than those for which he is on trial is admissible when it is logically, naturally, and by reasonable inference relevant to prove some fact at issue, such as motive, intent, preparation or identity. [Citations.] The trial court judge has the discretion to admit such evidence after weighing the probative value against the prejudicial effect. [Citation.] When reviewing the admission of evidence of other offenses, a court must consider: (1) the materiality of the fact to be proved or disproved, (2) the probative value of the other crime evidence to prove or disprove the fact, and (3) the existence of any rule or policy requiring exclusion even if the evidence is relevant. [Citation.] Because this type of evidence can be so damaging, "[i]f the connection between the uncharged offense and the ultimate fact in dispute is not clear, the evidence should be excluded." [Citation.]' [Citation.]" (People v. Fuiava (2012) 53 Cal.4th 622, 667.) Thus, "[b]ecause evidence of other crimes may be highly inflammatory, the admission of such evidence ' " 'must not contravene other policies limiting admission, such as those contained in Evidence Code section 352.' " ' [Citations.] Under Evidence Code section 352, the probative value of a defendant's prior acts must not be substantially outweighed by the probability that its admission would create substantial danger of undue prejudice, of confusing the issues, or of misleading the jury. [Citations.] 'We review for abuse of discretion a trial court's rulings on relevance and admission or exclusion of evidence under Evidence Code sections 1101 and 352.' [Citation.]" (People v. Davis (2009) 46 Cal.4th 539, 602.)